A steel tape is placed around the earth at the equator. When the temperature is `0^(0)C` neglecting the expansion of the earth, the increase in length between the tape and the ground if the temperature of the tape rises to `30^(0)C`, is nearly `(alpha_(steel) = 11 xx 10^(-6) // K)`

A steel teape is placed around the earth at the equator. When the temperature is 0^(0)C neglecting the expansion of the earth, the neglecting between the tape and the ground if the temperature of the tape rises to 30^(0)C , is nearly (alpha_(steel) = 11 xx 10^(-6) // K)

A steel tape placed around the earth at the equator when the temperature is 10^(@)C . What will be the clearance between the tape and the ground (assumed to be uniform) if the temperature of the tape rises to 40^(@)C ? Neglect expansion of the earth. Radius of earth at equator is 6400 km & alpha_(steel)= 1.2 xx 10^(-5)K^(-1)

A steel tape 1m long is correctly calibrated for a temperature of 27^(@)C . The length of a steel rod measured by this tape is found to be 63.0cm on a hot day when the temperature is 45.0^(@)C . What is the acutual length of the steel rod on that day? what is the length of the same steel rod on a day when the temperature is 27.0^(@)C ? coefficient of linear expansion of steel = 1.20xx10^(-5) .^(@)C^(-1) .

A steel tape is callibrated at 20^@ C . On a cold day when the temperature is -15^@ C , what will be the percentage error in the tape ?

A heavy brass bar has projections at its ends as shown in the figure. Two find steel wires, fastened between the projections, are just taut (zero tension) when the whole systeam is at 0^(0)C . What is the tensile stress in the steel wires when the temperature of the systeam is raised to 300^(0)C ? Given that alpha_("brass") = 20 xx 10^(-6 ^(@))C^(-1) alpha_("steel") = 12 xx 10^(-6@)C^(-1) Y_("steel") = 2 xx 10^(11) Nm^(-2)

A steel taps is calibrated at 20^(0)C . When the temperature of the day is -10^(0)C , the percentage error in the measurement with the tap is (alpha = 12 xx 10^(-6 //0)C)

A steel wire AB of length 100 cm is fixed rigidly at points A and B in an aluminium frame as shown in the figure. If the temperature of the system increases through 100^(@)C , then the excess stress produced in the steel wire relative to the aluminium? alpha_(Al) = 22 xx 10^(-6 //0) C and alpha_(steel) = 11 xx 10^(-6 //0) C young's Modulus of steel is 2 xx 10^(11) Nm^(-2) .

A steel scale measures the length of a copper wire as 80.0 cm when both area at 20^(@)C (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at 40^(@)C ? (Given alpha_("steel") = 11 xx 10^(-6) per ^(@)C and alpha_("copper") = 17 xx 10^(-6) per^(@)C )

In a certain arrangement, two cylinders of brass and steel are laid side by side and there is a constant difference of length between them at any temperature. Calculate the lengths of these cylinders at 0^@C if there is a difference of 5 cm between their lengths at all temperatures. alpha_("brass") = 0.0000019^@C^(-1) alpha_("steel") = 1.2 xx 10^(-6) C^(-1)

An iron wire AB has diameter of 0.6 mm and length 3 m at 0^(@)C . The wire is now stretched between the opposite walls of a brass casing at 0^(@)C . What is the extra tension that will be set up in the wire when the temperature of the system is raised to 40^(@)C ? Givne alpha_("brass")=18xx10^(-6)//K alpha_("iron")=12xx10^(-6)//K Y_("iron")=21xx10^(10)N//m_^(2)